[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
Value of a is :
[tex]14[/tex][tex] \large \boxed{ \mathfrak{Explanation}}[/tex]
Please refer to attachment for the solution ~
Anna is counting the number of seeds in her fruit. Her watermelon has one less than three times the number of seeds as her apple. Her orange has 13 less than 5 times the number of seeds as her apple. Her watermelon has more seeds than her orange. Which inequality represents the number of seeds her apple could have?
Inequalities are used to represent unequal expressions
The inequality that represents the number of seeds her apple could have is [tex]\mathbf{A < 6}[/tex]
Represent the fruits with the first letter.
So, we have:
[tex]\mathbf{W =3A - 1}[/tex] --- watermelon is one less than three times apple
[tex]\mathbf{O =5A - 13}[/tex] --- orange is thirteen less than five times apple
[tex]\mathbf{W > O}[/tex] --- the seeds in watermelon exceeds orange
Substitute expressions for W and O in [tex]\mathbf{W > O}[/tex]
[tex]\mathbf{3A - 1 > 5A - 13}[/tex]
Collect like terms
[tex]\mathbf{13- 1 > 5A - 3A}[/tex]
[tex]\mathbf{12 > 2A}[/tex]
Divide both sides by 2
[tex]\mathbf{6 > A}[/tex]
Rewrite as:
[tex]\mathbf{A < 6}[/tex]
The inequality that represents the number of seeds her apple could have is [tex]\mathbf{A < 6}[/tex]
Read more about inequalitues at:
https://brainly.com/question/20383699
Find the measure angle measure.
Answer:
42.3
Step-by-step explanation:
add both angles then subtract by 180 and the negative number is your answer
Graph the inequality. x < 2
Step-by-step explanation:
there u have it, since y is 0, we make a straight line that passes through 2 and shade the numbers that are <2
Diego can type 140 words in 4 minutes.
At this rate, how long will it take him to type 385 words?
How many words can he type in 15 minutes?
If you get stuck, consider creating a table.
I hope you find this useful, Mark as Brainliest please, it's very much appreciated.
Explanation:
In one minute, Diego can type 35 words;140÷4
At this rate, it will take him 11 minutes to type 385 words;385÷35
Therefore, he can type 525 words in 15 minutes; 35×15
Answer:
Hope this helps.
Step-by-step explanation:
1. 385 x 4 = 1540/140
=11
2. 15/4 = 3.74 x 140
=525
Help stuck on question number 10
Answer:
y = 2/3x - 5 or in standard form 3y = 2x - 5
Step-by-step explanation:
Remember this fact: Parallel lines have the same slope
Step 1 Solve for y so that the equation is in the slope- intersect form
2x - 3y = 6
-3y = -2x + 6
-3y/-3 = -2x/-3 + 6/-3
y = 2/3 x -2
now we know the slope is 2/3 or
when the equation is in Standard form Ax + By = C you can use this fact: slope = - A/B so the slope = -2/-3 = 2/3
Remember the Parallel lines have the same slope
Find the y-intersect "b" use the slope = 2/3 and point (6, -1)
y = mx + b
-1 = 2/3(6) + b
-1 = 4 + b
-5 = b
Now write the equation of line that is parallel to the given line and passes through point (6, -1)
y = 2/3x - 5 or in standard form 3y = 2x - 5
PLZ Hurry!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!The sum of two numbers is 19 and their difference is 7, What are the two numbers?
Answer:
13 and 6
Step-by-step explanation:
Simplify, then determine which is greater
Answer:
1) answer is 2x^2 - x + 6
2) answer is 2x^2 + 2x + 2
Step-by-step explanation:
i dont know if this is what you wanted, but i tried to follow the directions as best i could
Answer:
2x2 - 2x + 6 - (-3x) = 2x2(tiny) + x + 6
or
-(3 - 2x2) + 5 +2x = 2x2(tiny) + 2x +2
Step-by-step explanation:
I don't remember exactly how you find the smallest, sorry...
How do you solve this
Answer:
x = 8
Step-by-step explanation:
1. First, we should realize that the angle with 16x + 7 and the angle with 5x + 5 are same-side interior angles, meaning they add up to 180 degrees. This means that 16x + 7 + 5x + 5 = 180.
2. (Solving)
Step 1: Simplify both sides of the equation.
[tex](16x+5x)+(7+5)=180[/tex] [tex]21x + 12 = 180[/tex]Step 2: Subtract 12 from both sides.
[tex]21x + 12 - 12 = 180 - 12[/tex] [tex]21x = 168[/tex]Step 3: Divide both sides by 21.
[tex]\frac{21x}{21}=\frac{168}{21}[/tex] [tex]x = 8[/tex]Step 4: Check if solution is correct.
[tex]16(8)+7+5(8)+5=180[/tex] [tex]128 + 7 + 40 + 5 = 180[/tex] [tex]135 + 40 + 5 = 180[/tex] [tex]175 + 5 = 180[/tex] [tex]80= 80[/tex]Therefore, x = 8.
Given that BD ~ BC, find m
A. 54
B. 57
C. 64
D. 66
Answer:
b
Step-by-step explanation:
Answer:
B) 57
Step-by-step explanation:
since BD ≅ BC then ∡C = ∡D
6x-9 = 3x + 24
subtract 3x from each side to get:
3x-9 = 24
add 9 to each side to get:
3x = 33
divide each side by 3 to get:
x = 11
substitute 11 into 'x' in 3x + 24 to get:
3(11) + 24 = 33+24 = 57
check:
substitute 11 into 'x' in 6x - 9 to get:
6(11) - 9 = 66 - 9 = 57
APQR and ARST are shown.
What is m QPR?
QPR is 68 degrees
triangle=180 degrees
180-44=136
136/2=68 (R=68 and S=68)
R has two angles so both are 68 degrees
QPR=68 degrees
Which describes how to find the solution to 3p < 14?
Answer:
p < 14/3
Step-by-step explanation:
Answer:
a.divide both sides with 3
Step-by-step explanation:
Can you find the value of x please?!
Answer:
32
Step-by-step explanation:
The interior angles of a triangle add up to 180.
Subtract 98 and 50 from 180.
180-(98+50)=32
Step-by-step explanation:
you add all the values and equate them to 180
Subtract. 3- (-5) - (-2) Plot the solution on the number line.
Answer:
10. put a dot on the number 10
Step-by-step explanation:
3-(-5)-(-2)
when subtracting negatives, you actually end up adding
so
3+5+2=10
3 - (5) - (-2) = 10.
The solution will be positive 10 on the line.
In a ∆ABC , angle A + Angle B = 125° and Angle B + Angle C = 150° . Find all the angles of ∆ABC.
[tex]\large\underline{\sf{Solution-}}[/tex]
Given that,
In triangle ABC
[tex] \purple{\rm :\longmapsto\:\angle A + \angle B = 125 \degree \: - - - (1) }[/tex]
[tex] \purple{\rm :\longmapsto\:\angle B + \angle C = 150 \degree \: - - - (2)}[/tex]
We know,
Sum of all interior angles of a triangle is supplementary.
[tex] \purple{\rm :\longmapsto\:\angle A + \angle B + \angle C = 180\degree }[/tex]
On adding equation (1) and (2), we get
[tex] \purple{\rm :\longmapsto\:\angle A + \angle B + \angle B + \angle C = 125\degree + 150 \degree \:}[/tex]
[tex] \purple{\rm :\longmapsto\:\angle A + \angle B + \angle C + \angle B = 275\degree \:}[/tex]
[tex] \purple{\rm :\longmapsto\:180\degree + \angle B = 275\degree \:}[/tex]
[tex] \purple{\rm :\longmapsto\:\angle B = 275\degree - 180\degree \:}[/tex]
[tex] \purple{\rm :\longmapsto\:\angle B = 95\degree \:}[/tex]
On substituting the value in equation (1) and (2), we get
[tex] \purple{\rm :\longmapsto\:\angle A + 95\degree = 125\degree }[/tex]
[tex] \purple{\rm :\longmapsto\:\angle A = 125\degree - 95\degree }[/tex]
[tex] \purple{\rm :\longmapsto\:\angle A = 30\degree }[/tex]
Also, from equation (2), we get
[tex] \purple{\rm :\longmapsto\:95\degree + \angle C = 150\degree }[/tex]
[tex] \purple{\rm :\longmapsto\:\angle C = 150\degree - 95\degree }[/tex]
[tex] \purple{\rm :\longmapsto\:\angle C = 55\degree }[/tex]
Hence,
[tex]\begin{gathered}\begin{gathered}\bf\: \rm\implies \:\begin{cases} &\sf{\angle A = 30\degree } \\ \\ &\sf{\angle B = 95\degree } \\ \\ &\sf{\angle C = 55\degree } \end{cases}\end{gathered}\end{gathered}[/tex]
Answer:
angle A=30°
angle B=95°
angle C=55°
Please answer this big question nobody ever answers my questions im sad :(
Answer:
Step-by-step explanation:
1.
3,4,5 will make a triangle.
2.
sum of any sides > third side
difference of any two sides < third side
3+4=7>5
4+5=9>3
5+3=8>4
again
4-3=1<5
5-3=2<4
5-4=1<3
so it makes one triangle.
3.
3,4,8
4.
3+4=7 not >7
again
8-4 =4 not <3
so they do not make a triangle.
Please help I would be very grateful
Which equation has only one unique solution?
A.
|3 − x| = 3
B.
|x − 2| − 7 = 7
C.
-4|x| + 1 = -3
D.
9 − |2x − 1| = 9
The equation with only one unique solution is 9 − |2x − 1| = 9, with the solution x = 1/2. D.
To determine which equation has only one unique solution, let's analyze each equation:
|3 − x| = 3
In this equation, the absolute value term represents a distance.
By setting up two cases, where the absolute value is positive and negative, we can find the solutions.
Case 1:
3 - x = 3
Solving for x, we have x = 0.
Case 2:
x - 3 = 3
Solving for x, we have x = 6.
Thus, this equation has two solutions.
|x − 2| − 7 = 7
Similar to equation A, the absolute value term represents a distance.
By adding 7 to both sides, we have |x - 2| = 14.
This equation implies that the distance between x and 2 is 14.
There are two possible values for x: x = 2 + 14 = 16 and x = 2 - 14 = -12.
This equation has two solutions.
-4|x| + 1 = -3
To solve this equation, we isolate the absolute value term:
-4|x| = -4
Dividing both sides by -4:
|x| = 1
The absolute value of any number is always positive or zero.
The equation |x| = 1 has two solutions: x = 1 and x = -1.
9 − |2x − 1| = 9
The absolute value term represents a distance.
Subtracting 9 from both sides, we have |2x - 1| = 0.
The only way the absolute value of a real number can be equal to zero is if the number inside the absolute value is zero.
Thus, we set 2x - 1 = 0 and solve for x:
2x - 1 = 0
2x = 1
x = 1/2
Equation D has only one unique solution: x = 1/2.
For similar questions on unique solution
https://brainly.com/question/14282098
#SPJ8
find the equation of a line given two points (1, 2) and (4, 3).
Answer:
[tex]slope \: or \: gradient = y2 - y1 \div x2 - x1 \\ 3 - 2 \div 4 - 1 \\ 1 \div 3 \\ y = mx + c \\ 2 = 1 \div 3 \times 1 + c \\ 2 = 1 \div 3 + c \\ 2 - 1 \div 3 = c \\ c = 5 \div 3 \\ y = 1 \div 3x + 5 \div 3[/tex]
1) a supermarket sells articles during the festival seasons with a 10% discount. find the new price of the following articles.
i) A CFL bulb if the marked price is Rs. 280
ii) A bunion if the marked price is Rs. 650.
iii) A gas cooker if the marked price is Rs. 7500
Answer:
252, 585, 6750
Step-by-step explanation:
We have to think that the regular price represents 100% and we need 10 of 10% to make an 100%. So if we divide the regular price by 10 will get our 10%.
i) A CFL bulb if the marked price is Rs. 280
10 % of 280 is 280/10 = 28
discounted price is 280 -28 = 252
ii) A bunion if the marked price is Rs. 650.
10 % of 650 is 650/10 = 65
discounted price is 650 -65 = 585
iii) A gas cooker if the marked price is Rs. 7500
10 % of 7500 is 7500/10 = 750
discounted price is 7500 -750 = 6750
What is the equation of the line that passes through the point (5, 4) and is perpendicular to the line whose equation is 2x + y = 3 in standard form?
So a line that is perpendicular is a line that intercepts other line at a 90 degree angle.
Slope of perpendicular lines is the opposite sign and the reciprocal of the other.
So if your slope was 2 the perpendicular line would have a slope of -1/2.
So the equation, 2x + y = 3
Can be rewritten as
y= -2x+3
Perpendicular slope: 1/2
Since it intercepts/ passes the coordinates (5,4) it means that those values are included in the function input x and output y.
y=mx+b
4=1/2(5)+b
Solve for b (y intercept)
4-2.5=b
1.5=b
So the equation of the perpendicular is
y=1/2x+3/2 or y=.5x+1.5
MARKING BRAINLEIST IF YOU ARE RIGHT!!
Answer: 1 1/14
Step-by-step explanation: sorry if im wrong
For brainily please help
Answer:
The largest side is ST
Step-by-step explanation:
It's the largest side because it is opposite to the largest angle
6 cm
5 cm
***
-
Find volume
Triangles PQR and STU are similar. The length of PQ = 36 cm, RP = 48 cm and QR = 24
cm. THe length of the longest side of triangle STU is 92 cm. What is the perimeter of
triangle STU?
Answer:
207 cm
Step-by-step explanation:
Because ΔPQR ≅ΔSTU and the longest side in the ΔPQR is RP then the longest side in ΔSTU must be SU = 92 cm
Perimeter of triangle PQR is
P(ΔPQR) = 36+48+24 = 108 cm
Because the triangles are are similar their sides are in proportion.
But how much bigger did the second triangle get?...is (92/48) times bigger
P(ΔSTU) = 180*(92/48) = 207 cm
...you can also use proportions to find each side and then find the perimeter
TU = 24*92 /48 = 46
TS = 36*92/48 = 69
SU = 92
P(ΔSTU) = 92+69+46 =207 cm
*the triangles are not drawn to scale
9. Ramon buys five 3- pound bags of natural parrot food for $8.79 per bag. How much money did he
spend?
$43.95
Step-by-step explanation:
If each bag costs 8.79 and Ramon bought 5 bags then you would multiply 5×8.79
Answer:
$26.37
Step-by-step explanation:
Ramon bought 3-pound bags of natural parrot food for $8.79 per bag. how much money did he spend?
If Ramon bought 3-pound bags of natural parrot food each is $8.70 per bag
It's time to add!!
8.79 + 8.79 + 8.79= ANSWER: $26.37
In Stacking! :)
8.79
+8.79
8.79
______
26.37
HOPE THIS HELPS YOU! :)
HELLOOOO can somene help me
Answer:
I think it`s the second one
Step-by-step explanation:
Answer: The answer is the second choice. Hope this helps!
The corporate team-building event will cost $72 if it has 36 attendees. How many attendees can there be, at most, if the budget for the corporate team-building event is $92?
please help i be struggling on this..
Step-by-step explanation:
8
a. total cost ($)
→ 25 = 25×2.5 = $62.5
→ 50 = 50 × 2.5 = $125
→ 75 = 75 × 2.5 = $187.5
b. 2.5n
c. $400/2.5 = 160
therefore, she can make 160 crafts by $400.
9. 7x + 12 = 18
→ 7x = 18 - 12 = 6
→ x = 6/7
therefore value of x is 6/7.
hope this answer helps you dear...take care
20 points!!
Evaluate.
−26.6/−1= __________
Answer:
26.6
Step-by-step explanation:
simplify -26.6 divided by -1 to 26.6
Answer:
26.6
Step-by-step explanation:
- 26.6 / - 1
- 26.6 = - 1 x 26.6
- 1 = - 1 x 1
- 26.6 / - 1
= ( - 1 x 26.6 ) / ( - 1 x 1 )
= ( - 1 / - 1 ) x ( 26.6 / 1 )
= 1 x 26.6
= 26.6
A line has a slope of -2/3 and passes through the point (-3, 8). what is the equation of the line ?
Answer:
y = -2/3x + 6
Step-by-step explanation:
replace the coordinates in the equation
y= mx + c
y= 8
x= -3
8= -2/3 (-3) + c
c + 2 = 8
c = 8 - 2
c = 6
y= -2/3x + 6